Change of logarithm base · Short practice

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Recall

Changing the logarithm base — objective 1

Maths4U Original · Short practice

Let \(\displaystyle a=4\) and \(\displaystyle b=64\). Use base-2 logarithms to work exactly.

Find \(\displaystyle \log _{a}b\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Changing the logarithm base — objective 1

Maths4U Original · Short practice

Let \(\displaystyle a=8\) and \(\displaystyle b=8\). Use base-2 logarithms to work exactly.

Find \(\displaystyle \log _{a}b\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Changing the logarithm base — objective 2

Maths4U Original · Short practice

Let \(\displaystyle a=8\) and \(\displaystyle b=8\). Use base-2 logarithms to work exactly.

Find log_b a.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Changing the logarithm base — objective 2

Maths4U Original · Short practice

Let \(\displaystyle a=4\) and \(\displaystyle b=8\). Use base-2 logarithms to work exactly.

Find log_b a.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Changing the logarithm base — objective 3

Maths4U Original · Short practice

Let \(\displaystyle a=16\) and \(\displaystyle b=16\). Use base-2 logarithms to work exactly.

Find log_(\(\displaystyle a^{2}\)) b.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Changing the logarithm base — objective 3

Maths4U Original · Short practice

Let \(\displaystyle a=4\) and \(\displaystyle b=8\). Use base-2 logarithms to work exactly.

Find log_(\(\displaystyle a^{2}\)) b.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Changing the logarithm base — objective 4

Maths4U Original · Short practice

Let \(\displaystyle a=32\) and \(\displaystyle b=32\). Use base-2 logarithms to work exactly.

Find log_b(\(\displaystyle a^{2}\)).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Changing the logarithm base — objective 4

Maths4U Original · Short practice

Let \(\displaystyle a=4\) and \(\displaystyle b=8\). Use base-2 logarithms to work exactly.

Find log_b(\(\displaystyle a^{2}\)).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Try written exam-style problems →